Birational geometry, rational curves, and arithmetic:
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
2013
|
| Schriftenreihe: | Simons symposia
|
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781461464815 9781461464822 |
| DOI: | 10.1007/978-1-4614-6482-2 |
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Datensatz im Suchindex
| _version_ | 1804150447560196096 |
|---|---|
| adam_text | BIRATIONAL GEOMETRY, RATIONAL CURVES, AND ARITHMETIC
/
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
FOREWORD
INTRODUCTION.-A. BERTRAM AND I. COSKUN, THE BIRATIONAL GEOMETRY OF THE
HILBERT SCHEME OF POINTS ON SURFACES
F. BOGOMOLOV AND CH. BOEHNING, ISOCLINISM AND STABLE COHOMOLOGY OF
WREATH PRODUCTS
F. BOGOMOLOV, I. KARZHEMANOV, AND K. KUYUMZHIYAN, UNIRATIONALITY AND
EXISTENCE OF INFINITELY TRANSITIVE MODELS
I. CHELTSOV, L. KATZARKOV, AND V. PRZYJALKOWSKI, BIRATIONAL GEOMETRY VIA
MODULI SPACES
O. DEBARRE, CURVES OF LOW DEGREES ON PROJECTIVE VARIETIES
S. KEBEKUS, UNIRULEDNESS CRITERIA AND APPLICATIONS
S. KOVACS, THE CONE OF CURVES OF K3 SURFACES REVISITED
V. LAZIC, AROUND AND BEYOND THE CANONICAL CLASS
C. LIEDTKE, ALGEBRAIC SURFACES IN POSITIVE CHARACTERISTIC
A. VARILLY-ALVARADO, ARITHMETIC OF DEL PEZZO SURFACES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
BIRATIONAL GEOMETRY, RATIONAL CURVES, AND ARITHMETIC
/
: 2013
ABSTRACT / INHALTSTEXT
THIS BOOK FEATURES RECENT DEVELOPMENTS IN A RAPIDLY GROWING AREA AT THE
INTERFACE OF HIGHER-DIMENSIONAL BIRATIONAL GEOMETRY AND ARITHMETIC
GEOMETRY. IT FOCUSES ON THE GEOMETRY OF SPACES OF RATIONAL CURVES,
WITH AN EMPHASIS ON APPLICATIONS TO ARITHMETIC QUESTIONS. CLASSICALLY,
ARITHMETIC IS THE STUDY OF RATIONAL OR INTEGRAL SOLUTIONS OF DIOPHANTINE
EQUATIONS AND GEOMETRY IS THE STUDY OF LINES AND CONICS. FROM THE MODERN
STANDPOINT, ARITHMETIC IS THE STUDY OF RATIONAL AND INTEGRAL POINTS ON
ALGEBRAIC VARIETIES OVER NONCLOSED FIELDS. A MAJOR INSIGHT OF THE 20TH
CENTURY WAS THAT ARITHMETIC PROPERTIES OF AN ALGEBRAIC VARIETY ARE
TIGHTLY LINKED TO THE GEOMETRY OF RATIONAL CURVES ON THE VARIETY AND HOW
THEY VARY IN FAMILIES. THIS COLLECTION OF SOLICITED SURVEY AND RESEARCH
PAPERS IS INTENDED TO SERVE AS AN INTRODUCTION FOR GRADUATE STUDENTS AND
RESEARCHERS INTERESTED IN ENTERING THE FIELD, AND AS A SOURCE OF
REFERENCE FOR EXPERTS WORKING ON RELATED PROBLEMS. TOPICS THAT WILL BE
ADDRESSED INCLUDE: BIRATIONAL PROPERTIES SUCH AS RATIONALITY,
UNIRATIONALITY, AND RATIONAL CONNECTEDNESS, EXISTENCE OF RATIONAL CURVES
IN PRESCRIBED HOMOLOGY CLASSES, CONES OF RATIONAL CURVES ON RATIONALLY
CONNECTED AND CALABI-YAU VARIETIES, AS WELL AS RELATED QUESTIONS WITHIN
THE FRAMEWORK OF THE MINIMAL MODEL PROGRAM
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| spelling | Birational geometry, rational curves, and arithmetic Fedor Bogomolov ..., ed. New York, NY [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Simons symposia Bogomolov, Fedor A. 1946- Sonstige (DE-588)129921637 oth https://doi.org/10.1007/978-1-4614-6482-2 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026054848&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026054848&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Birational geometry, rational curves, and arithmetic |
| title | Birational geometry, rational curves, and arithmetic |
| title_auth | Birational geometry, rational curves, and arithmetic |
| title_exact_search | Birational geometry, rational curves, and arithmetic |
| title_full | Birational geometry, rational curves, and arithmetic Fedor Bogomolov ..., ed. |
| title_fullStr | Birational geometry, rational curves, and arithmetic Fedor Bogomolov ..., ed. |
| title_full_unstemmed | Birational geometry, rational curves, and arithmetic Fedor Bogomolov ..., ed. |
| title_short | Birational geometry, rational curves, and arithmetic |
| title_sort | birational geometry rational curves and arithmetic |
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